简介:Thispaperinvestigatestherelative1-canonicalimageaofnon-hyperellipticfibrationsofgenus4.Itisprovedthatifafibreoftherelative1-caaonicalimage∑isnotacompleteintersectioninp^3thenthevariety∑cannotbesmoothonthisfibre.Moreover,twoexamplesaregiwntoshowtheoccurrenceofsuchcases.
A NOTE ON THE RELATIVE CANONICAL IMAGE OF A NON-HYPERELLIPTIC FIBRATION OF GENUS 4